|
Search: id:A034797
|
|
|
| A034797 |
|
a(0) = 0; a(n+1)=a(n)+2^a(n) |
|
+0
12
|
| |
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
First impartial game with value n, using natural enumeration of impartial games.
The natural 1-1 correspondence between nonnegative numbers and hereditarily finite sets is given by f(A)=sum over members m of A of 2^f(m). A set can be considered an impartial game where the legal moves are the members. The value of an impartial game is always an ordinal (for finite games, an integer).
Positions of records in A103318. - N. J. A. Sloane (njas(AT)research.att.com) and David Applegate (david(AT)research.att.com), Mar 21 2005
|
|
REFERENCES
|
J. H. Conway, On Numbers and Games.
David Applegate, Benoit Cloitre, Philippe DELEHAM and N. J. A. Sloane, Sloping binary numbers: a new sequence related to the binary numbers, J. Integer Seq. 8 (2005), no. 3, Article 05.3.6, 15 pp.
|
|
LINKS
|
David Applegate, Benoit Cloitre, Philippe DELEHAM and N. J. A. Sloane, Sloping binary numbers: a new sequence related to the binary numbers [pdf, ps].
|
|
CROSSREFS
|
Cf. A034798, A103318.
Sequence in context: A088579 A145988 A124984 this_sequence A101710 A088799 A072117
Adjacent sequences: A034794 A034795 A034796 this_sequence A034798 A034799 A034800
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
Joseph Shipman (shipman(AT)savera.com)
|
|
EXTENSIONS
|
Next term, 2^2059 + 2059, has 620 decimal digits. - Olivier Gerard (olivier.gerard(AT)gmail.com), Jun 26 2001
|
|
|
Search completed in 0.003 seconds
|
